10116787200 has 264 divisors, whose sum is σ = 36012101328. Its totient is φ = 2490040320.

The previous prime is 10116787169. The next prime is 10116787211. The reversal of 10116787200 is 278761101.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 993334 + ... + 1003466.

Almost surely, 2^10116787200 is an apocalyptic number.

10116787200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10116787200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18006050664).

10116787200 is an abundant number, since it is smaller than the sum of its proper divisors (25895314128).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10116787200 is a wasteful number, since it uses less digits than its factorization.

10116787200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10179 (or 10156 counting only the distinct ones).

The product of its (nonzero) digits is 4704, while the sum is 33.

It can be divided in two parts, 1011678 and 7200, that added together give a triangular number (1018878 = T₁₄₂₇).

The spelling of 10116787200 in words is "ten billion, one hundred sixteen million, seven hundred eighty-seven thousand, two hundred".